What is the answer to solvefor t, q/t =2i ?

The answer to solvefor t, q/t =2i is t=-q/2 i

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solvefor t, q/t =2i

solve for

t, \frac{q}{t} = 2 i

t = - \frac{q}{2} i

Solution steps

\frac{q}{t} = 2 i

Substitute

t = x + y i

\frac{q}{x + y i} = 2 i

Multiply both sides by

x + y i

\frac{q}{x + y i} (x + y i) = 2 i (x + y i)

Simplify

q = - 2 y + 2 i x

Rewrite

q

in standard complex form:

q + 0 i

q + 0 i = - 2 y + 2 i x

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[q = - 2 y 0 = 2 x]

[q = - 2 y 0 = 2 x] : x = 0, y = - \frac{q}{2}

Substitute back

t = x + y i

t = - \frac{q}{2} i

a - bi = ai - b i^{2}

s i f (x) = \frac{( 2 x - 1 )}{2 x + 1}

i (x) = e (2 x^{2} - 1)

z \cdot z + z = 3 - i

a + bi = - i

What is the answer to solvefor t, q/t =2i ?
The answer to solvefor t, q/t =2i is t=-q/2 i